What????? No way. Talk to the humane center, find out what groups have discounts on strays. There's usually a group that does stray managment or TNR (trap,neuter,release) and that sort of thing. Hook up with them. Get the discount, since this is a stray cat. Should cost you less than $100 for the surgery, antibotic shot, Rabies shot, FeLV/FLeuk testing and such.
Friends of Animials, Animal Rescue Force, Animal Rescue League, etc. all have programs.
OR... if that doesn't work. Have your dearest 70 year old friend take the cat in. Get the Seniors discount. lol.
Good luck!